Cube Root of −343
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What is the cube root of −343?
Answer
∛(−343) =
−7
Real cube root: the only number whose cube is −343.
A negative number has a negative cube root: (−7)³ = −343. There is no real square root of −343.
- Sign
- ∛(−343) = −∛343, because (−a)³ = −a³
- Prime factors
- 343 = (7 × 7 × 7) = 7³
- Take out of the root
- ∛343 = ∛(7³) = 7
- Check
- 7 × 7 × 7 = 343 ✓
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